Author 
Message 
TAGS:

Hide Tags

Director
Joined: 17 Dec 2012
Posts: 635
Location: India

From a certain number of people who attended an interview [#permalink]
Show Tags
Updated on: 24 Jul 2013, 22:58
Question Stats:
40% (01:54) correct 60% (02:36) wrong based on 147 sessions
HideShow timer Statistics
From a certain number of people who attended an interview, x people were selected. If instead, x+2 are selected, the number of possible selections would be the same. Which of the following cannot be the value of x if at least 2 interviews were conducted everyday and the interviews were completed in 4 days? A. 2 B. 4 C. 6 D. 8 E. Cannot be determined
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Srinivasan Vaidyaraman Sravna http://www.sravnatestprep.com/bestonlinegrepreparation.php
Improve Intuition and Your Score Systematic Approaches
Originally posted by SravnaTestPrep on 24 Jul 2013, 21:40.
Last edited by fameatop on 24 Jul 2013, 22:58, edited 3 times in total.



Senior Manager
Joined: 24 Aug 2009
Posts: 481
Schools: Harvard, Columbia, Stern, Booth, LSB,

Re: From a certain number of people who attended an interview [#permalink]
Show Tags
24 Jul 2013, 22:18
SravnaTestPrep wrote: From a certain number of people who attended an interview, x people were selected. If instead, x+2 are selected, the number of possible selections would be the same. Which of the following cannot be the value of x? A. 2 B. 4 C. 6 D. 8 E. Cannot be determined nCx = nC(x+2) (Eq1) or in other words, x + x + 2 = n 2x+2 = n (Eq2) So logically x can take any value as long as it satisfies both the equations. X N 2 6 4 10 6 14 8 18 For all the above mentioned values of X & N both of the equations are satisfied. So, answer should be E & not C. Sravan, can you kindly confirm the OA once again.
_________________
If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS. Kudos always maximizes GMATCLUB worth Game Theory
If you have any question regarding my post, kindly pm me or else I won't be able to reply



Director
Joined: 17 Dec 2012
Posts: 635
Location: India

Re: From a certain number of people who attended an interview [#permalink]
Show Tags
24 Jul 2013, 22:33
fameatop wrote: SravnaTestPrep wrote: From a certain number of people who attended an interview, x people were selected. If instead, x+2 are selected, the number of possible selections would be the same. Which of the following cannot be the value of x? A. 2 B. 4 C. 6 D. 8 E. Cannot be determined nCx = nC(x+2) (Eq1) or in other words, x + x + 2 = n 2x+2 = n (Eq2) So logically x can take any value as long as it satisfies both the equations. X N 2 6 4 10 6 14 8 18 For all the above mentioned values of X & N both of the equations are satisfied. So, answer should be E & not C. Sravan, can you kindly confirm the OA once again. Yes you are right. I was about to edit the question. Kindly take a look at it now.
_________________
Srinivasan Vaidyaraman Sravna http://www.sravnatestprep.com/bestonlinegrepreparation.php
Improve Intuition and Your Score Systematic Approaches



Director
Joined: 17 Dec 2012
Posts: 635
Location: India

Re: From a certain number of people who attended an interview [#permalink]
Show Tags
24 Jul 2013, 23:11
fameatop, I guess you have not seen the question after I edited it. Your comment needs to be removed as the OA is A and not E.
_________________
Srinivasan Vaidyaraman Sravna http://www.sravnatestprep.com/bestonlinegrepreparation.php
Improve Intuition and Your Score Systematic Approaches



Manager
Status: How easy it is?
Joined: 09 Nov 2012
Posts: 112
Location: India
Concentration: Operations, General Management
GMAT 1: 650 Q50 V27 GMAT 2: 710 Q49 V37
GPA: 3.5
WE: Operations (Other)

Re: From a certain number of people who attended an interview [#permalink]
Show Tags
07 Aug 2013, 23:54
SravnaTestPrep wrote: From a certain number of people who attended an interview, x people were selected. If instead, x+2 are selected, the number of possible selections would be the same. Which of the following cannot be the value of x if at least 2 interviews were conducted everyday and the interviews were completed in 4 days?
A. 2 B. 4 C. 6 D. 8 E. Cannot be determined Can you please provide an explanation for the OA?



Director
Joined: 17 Dec 2012
Posts: 635
Location: India

Re: From a certain number of people who attended an interview [#permalink]
Show Tags
08 Aug 2013, 00:07
SravnaTestPrep wrote: From a certain number of people who attended an interview, x people were selected. If instead, x+2 are selected, the number of possible selections would be the same. Which of the following cannot be the value of x if at least 2 interviews were conducted everyday and the interviews were completed in 4 days?
A. 2 B. 4 C. 6 D. 8 E. Cannot be determined Solution: 1. We are selecting from the same number of people when x as well as x+2 selections are made and the number of selections that can be made is the same. i.e., nCx = nC(x+2) i.e., x + (x+2) =n or n=2x+2 2. The other information we have is that at least 2 interviews were conducted per day and the interviews were completed in 4 days. That is n has to be at least 2*4 = 8. 3. Now plug in the values of x from the answer choices. If x=2, n=6. This is not possible because it is less than 8. Other values are possible because n>8 in all those cases.
_________________
Srinivasan Vaidyaraman Sravna http://www.sravnatestprep.com/bestonlinegrepreparation.php
Improve Intuition and Your Score Systematic Approaches



Senior Manager
Joined: 10 Jul 2013
Posts: 318

Re: From a certain number of people who attended an interview [#permalink]
Show Tags
08 Aug 2013, 00:29
nitin6305 wrote: SravnaTestPrep wrote: From a certain number of people who attended an interview, x people were selected. If instead, x+2 are selected, the number of possible selections would be the same. Which of the following cannot be the value of x if at least 2 interviews were conducted everyday and the interviews were completed in 4 days?
A. 2 B. 4 C. 6 D. 8 E. Cannot be determined Can you please provide an explanation for the OA? solution: At least 2 interviews a day, so minimum 8 interviews in four days. Thus at least a total of 8 candidates should be there. Let, total candidates = n according to the question, nCx = nC(x+2) or, nCnx = nCx+2 [nCr = nCnr] or, nx = x+2 so, n = 2x+2 Remember total least number should be 8? So below 8 we can't expect anything. Put x=2, then n=6 that is unacceptable. so x is not equal to 2 . Answer: A
_________________
Asif vai.....



NonHuman User
Joined: 09 Sep 2013
Posts: 7058

Re: From a certain number of people who attended an interview [#permalink]
Show Tags
23 Aug 2017, 04:08
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: From a certain number of people who attended an interview
[#permalink]
23 Aug 2017, 04:08






